Your condom was intact all the time, that's what matters. Always try to put it properly, because eve in it can still protect you, it it is not put properly, the possibilities of getting it broken or moved increase.
Even contacting rests of vaginal fluid, this would have to get in to your urethra to cause any infection. So, as I can read, that didn't happen.
So, I don't see any risk here, and no test is needed.